The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
Answer:
<u>The multiples of 3 are:</u>
These the 3 out of 10 results.
<u>The probability of selecting a multiple of 3 is:</u>
- P = 3/10 as fraction
- = 0.3 as decimal
- = 30% as percent
Answer:
a cube that is 1 yard long, 1 yard wide, and 1 yard high
Step-by-step explanation:
The dimensions for a unit cube are:
<u>Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent). </u>
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Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.
